10,198 research outputs found
Invariance of the distributional curvature of the cone under smooth diffeomorphisms
No full textAn explicit calculation is carried out to show that the distributional curvature of a 2-cone, calculated by Clarke et al (Clarke C J S, Vickers J A and Wilson J P 1996 Class. Quantum Grav. 13 2485-98), using Colombeau's new generalized functions is invariant under nonlinear Coo coordinate transformations
Jonathan Vickers and Kerri Pratt
No full text2014 Jonathan Vickers Award winner Kerri Pratt, her work and circumstances relating to the award
Lottie S. Vickers postcard to Franklin County Woman Suffrage Association, October 6, 1914
No full textLottie S. Vickers, a resident of Berlin Center, Ohio, sent this letter to the "Suffrage Headquarters" in Columbus to request literature on women's suffrage for a special meeting she was planning.
The Franklin County Woman Suffrage Association was formed in 1912, after the Ohio Constitutional Convention elected to bring to a vote the question of removing the words "white male" from the state constitution with regard to voting rights. Headquartered in the Chamber of Commerce building in Columbus, Ohio, the organization put out regular publications, organized public speeches and meetings, distributed literature and held parades in support of the suffrage movement. Women's suffrage in Ohio was defeated in a special election in 1912 and again in 1914 and 1916 before a resolution narrowly passed in 1917 allowing municipal voting by women in Columbus. In 1920, the 19th Amendment passed, extending the vote to women and prohibiting state and federal government from denying suffrage on the basis of sex
Sheaves of nonlinear generalized functions and manifold-valued distributions
No full textThis paper is part of an ongoing program to develop a theory of generalized differential geometry. We consider the space G[X,Y] of Colombeau generalized functions defined on a manifold X and taking values in a manifold Y. This space is essential in order to study concepts such as flows of generalized vector fields or geodesics of generalized metrics. We introduce an embedding of the space of continuous mappings C(X,Y) into G[X,Y] and study the sheaf properties of
G[X,Y]. Similar results are obtained for spaces of generalized vector bundle homomorphisms. Based on these constructions we propose the definition of a space D'[X,Y] of distributions on X taking values in Y. D'[X,Y] is realized as a quotient of a certain subspace of G[X,Y
On the Geroch-Traschen class of metrics
No full textWe compare two approaches to semi-Riemannian metrics of low regularity. The maximally 'reasonable' distributional setting of Geroch and Traschen is shown to be consistently contained in the more general setting of nonlinear distributional geometry in the sense of Colombea
Support: Can it be a value creation strategy for positive marketing?
No full textIn pursuit of improving people's wellbeing and engaging in positive marketing, this paper addresses the application of Vickers' Appreciation System to deepen our understanding of how people comprehend their environment and respond to improve their situation. The paper highlights how companies can collaboratively engage in people's appreciation and support them in fulfilling their needs
A Work Approach to Determine Vickers Indentation Fracture Toughness
No full textAccording to the comparison of Vickers microindentation tests and Vickers macroindentation tests on several brittle materials, it is found that the ratio of hardness (H) to elastic modulus (E) is sensitive to well-developed radial cracks, but the ratio of unloading work (W(u)) to total loading work (W(t)) is not. Based on this finding together with the approximate linear relationship between the ratio of H to reduced modulus (E(r)) and W(u)/W(t), a new approach taking W(u)/W(t) instead of H/E as the input parameter to determine Vickers indentation fracture toughness is proposed. For this proposed approach, all input parameters can be obtained in one single instrumented indentation test for fracture toughness, thus the test procedure can be simplified significantly. The formula of the newly proposed approach is calibrated by the macroindentation tests on several brittle materials. The validity of the new approach is investigated by comparing its estimation with the old one's
A global theory of algebras of generalized functions II: tensor distributions
No full textWe extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of tensor distributions in the sense of L. Schwartz. We thereby obtain a universal algebra of generalized tensor fields canonically containing the space of distributional tensor fields. The canonical embedding of distributional tensor fields also commutes with the Lie derivative. This construction provides the basis for applications of algebras of generalized functions in nonlinear distributional geometry and, in particular, to the study of spacetimes of low differentiability in general relativity
Reducing DCO registrations through electronic matching of cancer registry data and routine hospital data
No full textFrom twelve months after its original publication, this work is licensed under the Creative Commons Attribution-NonCommercial-Share Alike 3.0 Unported License.
To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0
The Penrose singularity theorem in regularity C^{1,1}
No full textWe extend the validity of the Penrose singularity theorem to spacetime metrics of regularity C^{1,1}. The proof is based on regularization techniques, combined with recent results in low regularity causality theor
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